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Finding the Third Proportional to 1,735,202.25 and 3,872,812.50

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Solution

The third proportional to 1,735,202.25 and 3,872,812.50 is: 8,643,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735,202.25 : 3,872,812.50 = 3,872,812.50 : x
  2. Step 2: Convert to fraction form
    1,735,202.25/3,872,812.50 = 3,872,812.50/x
  3. Step 3: Cross multiply
    1,735,202.25x = 3,872,812.50 × 3,872,812.50
  4. Step 4: Simplify right side
    1,735,202.25x = 14,998,676,660,156.25
  5. Step 5: Solve for x
    x = 14,998,676,660,156.25/1,735,202.25
  6. Step 6: Final answer
    x = 8,643,762.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.